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Finding the Fourth Proportional to 208,089,616.80, 312,039,946.80 and 78,654,208.80

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Solution

The fourth proportional to 208,089,616.80, 312,039,946.80 and 78,654,208.80 is: 117,945,602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,089,616.80 : 312,039,946.80 = 78,654,208.80 : x
  2. Step 2: Convert to fraction form
    208,089,616.80/312,039,946.80 = 78,654,208.80/x
  3. Step 3: Cross multiply
    208,089,616.80x = 312,039,946.80 × 78,654,208.80
  4. Step 4: Simplify right side
    208,089,616.80x = 24,543,255,129,548,092
  5. Step 5: Solve for x
    x = 24,543,255,129,548,092/208,089,616.80
  6. Step 6: Final answer
    x = 117,945,602.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.